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Finding the Fourth Proportional to 14,114.97, 19,478.66 and 7,827.35

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Solution

The fourth proportional to 14,114.97, 19,478.66 and 7,827.35 is: 10,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.97 : 19,478.66 = 7,827.35 : x
  2. Step 2: Convert to fraction form
    14,114.97/19,478.66 = 7,827.35/x
  3. Step 3: Cross multiply
    14,114.97x = 19,478.66 × 7,827.35
  4. Step 4: Simplify right side
    14,114.97x = 152,466,152.82
  5. Step 5: Solve for x
    x = 152,466,152.82/14,114.97
  6. Step 6: Final answer
    x = 10,801.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.